1114321120 has 192 divisors, whose sum is σ = 3091737600. Its totient is φ = 375183360.

The previous prime is 1114321097. The next prime is 1114321121. The reversal of 1114321120 is 211234111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1114321094 and 1114321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114321121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571326 + ... + 1572034.

It is an arithmetic number, because the mean of its divisors is an integer number (16102800).

Almost surely, 2^1114321120 is an apocalyptic number.

1114321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545868800).

1114321120 is an abundant number, since it is smaller than the sum of its proper divisors (1977416480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114321120 is a wasteful number, since it uses less digits than its factorization.

1114321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1114321120 is about 33381.4487402809. The cubic root of 1114321120 is about 1036.7406340640.

Adding to 1114321120 its reverse (211234111), we get a palindrome (1325555231).

The spelling of 1114321120 in words is "one billion, one hundred fourteen million, three hundred twenty-one thousand, one hundred twenty".